Moreover, the derived equation, and the stability theory of differential equations to explain the actual meaning of equations.
再者，求出方程的解，并用微分方程解的不变性理论诠释方程解的实践意义。
The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.
用微分方程分支理论和计算机数值模拟方法研究广义CH方程的周期波解。
According to coupled wave theory, and from the non-linear differential equation describing characteristics of reflection hologram, the reflective coefficient of reflection hologram is analyzed.
根据耦合波理论，从描述反射全息的非线性微分方程出发，对反射全息图的振幅反射系数进行了分析。
Some simple application of method of integrating factor that solve ordinary differential equation is discussed on the limit theory, differential and integral.
讨论了解常微分方程的积分因子法在极限理论、微分学、积分学中的一些应用。
The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.
这一理论是几何学、代数学、复分析、微分方程解析理论交叉的产物，体现了数学的统一性。
With the theory of stochastic differential equation, the authors discuss a problem of a class of risk investment portfolio with stochastic character.
利用随机微分方程理论，对一类具有随机特征的风险投资组合问题进行深入研究。
The research of delay differential equation is very important in theory and in practice.
这篇文章的主要目的是研究时滞对种群生长的作用。
The differential Jones vector equation is derived, then the representation theory of differential Jones-matrix is introduced.
首先推导了单模光纤的微分琼斯矩阵方程，并引入微分琼斯矩阵的表象理论。
After reduce the bar's free vibration differential equation to a lower order, we analogize it to the bending theory of the beam and gives an iterative procedure.
将杆作自由振动的微分方程作降阶处理后，和梁的弯曲理论作类比，给出了一个迭代算法。
By suing coincide degree theory, this paper discusses the existence of periodic solution for a kind of differential equation with several delays.
利用重合度理论讨论一类多个时滞微分方程的周期解的存在性。
Based on the elastic theory of liquid crystal and variation theory, the effect was studied, and the differential equation and boundary condition about the director of liquid crystal were obtained.
基于液晶弹性理论研究了这一效应，通过变分理论得到了液晶指向矢满足的微分方程及边界条件。
The main objects are graduate students, teachers and technical staff of electrical engineering with generic knowledge about Ordinary Differential Equation and neoteric mathematical theory.
本课程的主要对象是具有一般的常微分方程分支知识和一般近代数学理论知识的研究生、教师和电气工程技术人员。
The center focus decision problem is an important part of the differential equation theory.
中心焦点判定是微分方程定性理论的重要组成部分之一。
According to Terzaghi consolidation theory, the partial differential equation and filtration formula of the change diameter screw compression were induced.
根据太沙基固结理论推导出了变径螺旋压榨压方程，得出了压榨速率的表达式。
Control differential equation of curve problem of variable-thickness cylindrical shell is deduced with cell theory of variable-thickness shell.
采用变厚度壳单元理论推导出变厚度圆柱壳弯曲问题的控制微分方程。
Based on the minimum potential theory of energy method, adopting Eular equation, the governing differential equations of curved beam were established.
基于能量法中的最小势能原理，结合欧拉方程建立了构件变形后的中性平衡微分方程。
Stability theory is concerned with the state of differential equation when time approach infinity.
稳定性理论主要是研究在时间趋于无穷时微分方程解的性态。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
Using method of qualitative theory of ordinary differential equation, studies economic harvesting model with variable price and cost for a single population.
利用常微分方程定性理论的方法讨论了价格成本变化的单种群经济捕获模型。
Based on measured data of micro silicon gyro and time-series theory, the AR model of gyro static drift is established, then the continuous-time differential equation is got.
利用微硅陀螺测量的数据，运用过程辨识理论和时间序列分析方法，建立了陀螺静态漂移的自回归（AR）模型，进而得到连续微分方程。
The generalized kink waves of the short pulse equation were studied by the qualitative theory of ordinary differential equations and numerical simulation method.
用微分方程定性理论结合数值模拟方法研究了窄脉冲方程的广义扭结波。
The theory of inverse problems of a partial differential equation is used for the structure fault diagnosis in this paper.
本文将微分方程反问题理论应用于结构故障诊断。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
First, a differential geometrical description equation is obtained based on differential geometry theory without the need to estimate the parameter of available time-to-go.
首先，基于微分几何理论，得到了导弹运动的微分几何描述方程，无需估计剩余飞行时间。
The differential and integral equation for survival probability and a upper bound of ruin probability are given by using renewal theory and stochastic process approach.
利用更新理论和随机过程等方法，给出了模型生存概率所满足的微积分方程关系式和破产概率的一个上界估计。
The Out-differential Equation of Ideal Fluid in General Theory of Relativity;
爱因斯坦的广义相对论所预言的运动与牛顿理论稍有差异。
The Out-differential Equation of Ideal Fluid in General Theory of Relativity;
爱因斯坦的广义相对论所预言的运动与牛顿理论稍有差异。
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